Complementary angles
Complementary angles are a pair of angles whose measures add up to 90 degrees
Complementary angles are a pair of angles whose measures add up to 90 degrees. In other words, when you add the measures of two complementary angles, the sum is always 90 degrees.
For example, if one angle measures 30 degrees, then the other angle measures 90 – 30 = 60 degrees. These two angles, 30 degrees and 60 degrees, are complementary angles because their measures add up to 90 degrees.
Complementary angles are often found in right triangles, where one angle is a right angle measuring 90 degrees. The other two angles in a right triangle are complementary, since their measures add up to 90 degrees.
Recognizing complementary angles can be helpful in solving problems involving angles. For instance, if you know that two angles are complementary and you are given the measure of one of the angles, you can easily find the measure of the other angle by subtracting the measure from 90 degrees.
Complementary angles can also be used to find unknown angles in geometric figures, such as finding the measure of an angle in a parallelogram or a triangle, when given that it is complementary to another known angle.
In summary, complementary angles are a pair of angles whose measures add up to 90 degrees. They are commonly found in right triangles and can be used to find unknown angles in various geometric figures.
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